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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 89 · 40 questions
TalentJR

The method (Let it be x): Let x be the thing asked for. Write the other amounts using x. Turn the story into one equation. Open brackets, collect x on one side and numbers on the other, then divide. Check: put x back into the story.

NameDateTime takenScore ___ / 40
  1. 1.3 × ? + 25 = 64
  2. 2.A pen costs ₹3 more than a pencil. 3 pens and 5 pencils cost ₹161 in all. What does one pencil cost (in ₹)?
  3. 3.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  4. 4.Solve for x: 6(x + 3) = 3x + 48. What is x?
  5. 5.A pen costs ₹7 more than a pencil. 4 pens and 3 pencils cost ₹49 in all. What does one pencil cost (in ₹)?
  6. 6.Solve for x: 3(x + 1) = x + 41. What is x?
  7. 7.A pen costs ₹7 more than a pencil. 2 pens and 5 pencils cost ₹77 in all. What does one pencil cost (in ₹)?
  8. 8.Solve for x: 5(x + 8) = x + 116. What is x?
  9. 9.A pen costs ₹13 more than a pencil. 3 pens and 3 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  10. 10.7 × ? + 16 = 51
  11. 11.I think of a number, multiply it by 3 and then take away 39. The answer is 51. What is my number?
  12. 12.I think of a number, multiply it by 4 and then take away 8. The answer is 16. What is my number?
  13. 13.Kavya has 24 coins, all ₹5 and ₹2 coins, worth ₹117 in all. How many ₹5 coins are there?
  14. 14.The length of a rectangle is 2 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  15. 15.A pen costs ₹6 more than a pencil. 3 pens and 5 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  16. 16.A pen costs ₹5 more than a pencil. 6 pens and 5 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  17. 17.A pen costs ₹8 more than a pencil. 2 pens and 8 pencils cost ₹196 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹4 more than a pencil. 2 pens and 8 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  19. 19.Aarav has 18 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  20. 20.Aditya has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  21. 21.5 × ? − 18 = 32
  22. 22.Solve for x: 7(x + 4) = 2x + 78. What is x?
  23. 23.A pen costs ₹11 more than a pencil. 5 pens and 6 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  24. 24.Meera has 13 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  25. 25.The length of a rectangle is 7 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  26. 26.I think of a number, multiply it by 6 and then take away 16. The answer is 164. What is my number?
  27. 27.The length of a rectangle is 13 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  28. 28.Solve for x: 7(x + 9) = 5x + 85. What is x?
  29. 29.A pen costs ₹4 more than a pencil. 6 pens and 3 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  30. 30.4 × ? + 17 = 97
  31. 31.10 × ? − 8 = 42
  32. 32.A pen costs ₹9 more than a pencil. 3 pens and 8 pencils cost ₹159 in all. What does one pencil cost (in ₹)?
  33. 33.I think of a number, multiply it by 3 and then add 17. The answer is 23. What is my number?
  34. 34.The length of a rectangle is 10 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  35. 35.The length of a rectangle is 9 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  36. 36.6 × ? − 14 = 82
  37. 37.A pen costs ₹2 more than a pencil. 2 pens and 5 pencils cost ₹67 in all. What does one pencil cost (in ₹)?
  38. 38.Solve for x: 9(x + 3) = 5x + 79. What is x?
  39. 39.I think of a number, multiply it by 3 and then take away 5. The answer is 13. What is my number?
  40. 40.A pen costs ₹13 more than a pencil. 2 pens and 6 pencils cost ₹50 in all. What does one pencil cost (in ₹)?

Answer key

  1. 13
  2. 19
  3. 7
  4. 10
  5. 3
  6. 19
  7. 9
  8. 19
  9. 16
  10. 5
  11. 30
  12. 6
  13. 23
  14. 10
  15. 10
  16. 4
  17. 18
  18. 7
  19. 16
  20. 8
  21. 10
  22. 10
  23. 3
  24. 9
  25. 30
  26. 30
  27. 6
  28. 11
  29. 8
  30. 20
  31. 5
  32. 12
  33. 2
  34. 7
  35. 13
  36. 16
  37. 9
  38. 13
  39. 6
  40. 3

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